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Finding the Fourth Proportional to 5,738.76, 7,917.48 and 3,613.32

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Solution

The fourth proportional to 5,738.76, 7,917.48 and 3,613.32 is: 4,985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.76 : 7,917.48 = 3,613.32 : x
  2. Step 2: Convert to fraction form
    5,738.76/7,917.48 = 3,613.32/x
  3. Step 3: Cross multiply
    5,738.76x = 7,917.48 × 3,613.32
  4. Step 4: Simplify right side
    5,738.76x = 28,608,388.83
  5. Step 5: Solve for x
    x = 28,608,388.83/5,738.76
  6. Step 6: Final answer
    x = 4,985.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.